Finite Rings and Digraphs: Further Development of Theory and Algorithms

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Finite Rings and Digraphs: Further Development of Theory and Algorithms

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dc.contributor.advisor Lipkovski, Aleksandar
dc.contributor.author Daoub, Hamza
dc.date.accessioned 2016-08-11T07:40:45Z
dc.date.available 2016-08-11T07:40:45Z
dc.date.issued 2013
dc.identifier.uri http://hdl.handle.net/123456789/4267
dc.description.abstract In this thesis, we are going to highligth two di erent relations between graphs and nite commutative rings. The rst one is the well known as Unitary Cayley Graph, where the study of this assocciation and some results are presented from [1]. The second one is a completely di erent; it connects digraphs with quadratic polynomials with coe tents in Zn under the mapping (a; b) 7􀀀! (a + b; ab), for some n < 1. A Computer calculations are involved to support the study. The algorithm which is used for these calculations is built on original Mathematica and Matlab Softwares. Furthermore, Some principles are needed in this thesis for the seek of support and completeness. . . en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2016-08-11T07:40:44Z No. of bitstreams: 1 phdHamza_Daoub.pdf: 1154086 bytes, checksum: 7ded7e81b83223a85973ddbbba93c629 (MD5) en
dc.description.provenance Made available in DSpace on 2016-08-11T07:40:45Z (GMT). No. of bitstreams: 1 phdHamza_Daoub.pdf: 1154086 bytes, checksum: 7ded7e81b83223a85973ddbbba93c629 (MD5) Previous issue date: 2013 en
dc.language.iso en en_US
dc.publisher Beograd en_US
dc.title Finite Rings and Digraphs: Further Development of Theory and Algorithms en_US
mf.subject.area Mathematics en_US
mf.subject.subarea Algebra en_US
mf.contributor.committee Mijajlović, Žarko
mf.contributor.committee Petrović, Zoran
mf.contributor.committee Marić, Miroslav
mf.contributor.committee Rašković, Miodrag
mf.university.faculty Mathematical Faculty en_US
mf.document.references 18 en_US
mf.document.pages 71 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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